Exponential%20Functions

1
Exponential Functions
Maths Online

• Why study graphs of exponential functions?

2
Radioactive Decay
Maths Online

• Radioactive substance is dangerous because it
  decays and emits harmful radiation
• Radioactive substance will decay to half its mass
  over a period of time
• This period of time is called the half-life of
  the radioactive substance

3
Radioactive Decay
Maths Online
Amount left is given by yy0e-?t where decay
constant ?ln 2/half-life
4
Moores Law
Maths Online

• Dr. Gordan Moore is the co-founder of Intel
• Moores Law was formulated in 1965
• No. of transistors in a silicon chip doubles
  every 2 years
• 1965 - 240 transistors
• Pentium 4 (2000) - 42 million transistors

5
Moores Law
Maths Online
6
Moores Law
Maths Online

• 1965 - 240 transistors
• Pentium 4 (2000) - 42 million transistors
• Moores Law
• 240 x 2 0.5 t 240 x 217.5 44 millions

7
Conclusion
Maths Online

• We use exponential graphs whenever something
  increases or decreases by 2 (or any factor) over
  the same intervals of time